MATHEMATICS HIGH SCHOOL

What is true concerning the lines graphed by the system of equations shown below 8x+6=2y 12x-3=3y

Answers

Answer 1
Answer:

Answer: the lines are parallel to each other

Step-by-step explanation:

First, what we can do is solve both equations for y, putting them in slope-intercept form, y = mx + b:

2y = 8x + 6                            3y = 12x - 3
/ 2      / 2                                / 3       / 3
y = 8x/2 + 6/2                         y = 12x/3 - 3/3
y = 4x + 3                                y = 4x - 1

For both equations, m = 4, or they have the same slope of 4. Lines that have the same slope are parallel to each other.

I hope this helps! :)

Related Questions

Train a leaves station traveling at 40 mph. Eight hours later train b leaves the same station traveling in the same direction at 60mph. how long does it take for train b to catch up to train a?What would the formula look like to reach the desired answer? Thank you! :)
Jeremy is 29 years old and in good health. What is the annual premium for the cheapest policy having a $90,000 face value that Jeremy can buy?For age 29, a male whole life if 18.25, 20-payment life is 31.39, and 20-year endowment is 39.69.a.$1,825b.$1,294c.$1,929d.$1,643i just did it and its D
HELP HELP HELP HELP !!!!!!
From midnight until 8:00 AM, the temperature tripled and then rose 5 degrees. The temperature at 8:00 AM was –7 degrees Celsius. Write and solve an equation to find the temperature at midnight.
X varies inversely with y and x = 8 when y = 10, what is the value of y when x=6

The quotient of a number and 4 decreased by 8 is 5. What is the number?

Answers

Answer: 52

Step-by-step explanation:

Let's solve this equation step by step. The quotient of a number and 4 decreased by 8 is 5.

Step 1: Let's represent the unknown number as "x".

Step 2: The quotient of a number and 4 can be written as x/4.

Step 3: Decreased by 8 means subtracting 8 from the quotient, so we have (x/4) - 8.

Step 4: According to the equation, (x/4) - 8 = 5.

Step 5: Now, let's solve for x. Add 8 to both sides of the equation to isolate the x term.

(x/4) - 8 + 8 = 5 + 8

(x/4) = 13

Step 6: Multiply both sides of the equation by 4 to get rid of the fraction.

4 * (x/4) = 4 * 13

x = 52

Therefore, the number is 52.

Answer: 52

Step-by-step explanation:

    First, we will write a mathematical equation to represent this situation. Let n be "a number."

\displaystyle (n)/(4) -8=5

    Add 8 to both sides of the equation:

\displaystyle (n)/(4)=13

    Multiply both sides of the equation by 4:

\displaystyle n=52

Can you help me with this please?6^3 simplified

6^2 simplified

6^1 simplified

6^0 simplified
Type each answer to each problem

Answers

Answer:

6^3 is 216

6^2 is 36

6^1 is 6

6^0 is 1

Step-by-step explanation:

Rewrite 5/3 as an improper fraction.

Answers

Answer:

2

1 - -

3

Step-by-step explanation:

gogiueueudkdkdkd

Answer:

1 2/3

Step-by-step explanation:

Kevin is 4 times as old as Daniel and is also 6 years older than Daniel. How old is Kevin?

Answers

There are numerous important information's already given in the question. Based on these information's, the answer can be deduced.
Let us assume the age of Daniel = x years
Let us assume the age of Kevin = y years
Then
y = 4x
and
y = x + 6
So
4x = x + 6
4x - x = 6
3x = 6
x = 6/3
   = 2 years
So
Age of Kevin = 4 * 2 years
                      = 8 years

Sophia is making tomato sauce. She adds 12 grams of her secret ingredient to each liter of sauce she prepares. If she has 4 grams of her secret ingredient, how many liters of sauce can she make?​

Answers

Answer:

(1)/(3)liter

Step-by-step explanation:

To make her tomato sauce,

  Sophia adds 12g to 1 liter of sauce;

Let us find the;

  liter of sauce per gram of ingredient = (1)/(12)liter/gram

Now;

  liters of sauce required to make 4grams

   liter of sauce  = 4g x  (1)/(12)liter/g =(1)/(3)liter

5/6+3/7 in simplest form

Answers

5/6 + 3/7

Common denominator is needed. 

5/6 = 35/42
3/7 = 18/42

Now add 

35 + 18 = 53

53/42 
53 - 42 = 11

1 and 11/42 
(5)/(6) + (3)/(7) =\n\n (35)/(42) + (18)/(42) =\n\n (35+18)/(42) =\n\n (53)/(42) =\n\n{\boxed{(53)/(42)\ or\ 1 (11)/(42)}
Other Questions
1 . a person who weighs 100 pounds on earth weighs 16.6 ib on the moon. part a. how much would a 185 pound astronaut weigh on the moon? use an equation to explain how u know part b. how much would a man the weighs 50 pounds on the moon weigh on earth?
8. An item is on sale for 50% off the regular price of $3.18. A customer buys one and gives the cashier $5.00. The cashier gives the customer
Use proportional reasoning to find 65% of 200
You are Miguel Cervantes de Navas y Colon, captain in the Royal SpanishArmy in Sevilla in the year 1842. Outside your barracks window is a stack ofcannonballs, as shown in the illustration. On an idle afternoon you decide tocalculate the number of cannonballs in the stack. What is the number ofcannonballs?